# What is the simplest form of the radical expression 4^3sqrt(3x)+5^3sqrt(10x)?

Jan 14, 2018

color(blue)(sqrt(x)[" "4^3sqrt(3)+5^3sqrt(10)" "]

#### Explanation:

Given:

$\textcolor{red}{{4}^{3} \sqrt{3 x} + {5}^{3} \sqrt{10 x}}$

${4}^{3} \sqrt{3} \sqrt{x} + {5}^{3} \sqrt{10} \sqrt{x}$

We can see that $\textcolor{b l u e}{\sqrt{x}}$ is common factor for both terms

Hence, after factoring out the common factor, we have

color(blue)(sqrt(x)[" "4^3sqrt(3)+5^3sqrt(10)" "]

Hope you find this solution useful.